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Finding the Fourth Proportional to 540.11, 809.46 and 385.17

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Solution

The fourth proportional to 540.11, 809.46 and 385.17 is: 577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.11 : 809.46 = 385.17 : x
  2. Step 2: Convert to fraction form
    540.11/809.46 = 385.17/x
  3. Step 3: Cross multiply
    540.11x = 809.46 × 385.17
  4. Step 4: Simplify right side
    540.11x = 311,779.71
  5. Step 5: Solve for x
    x = 311,779.71/540.11
  6. Step 6: Final answer
    x = 577.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.